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42504543213231 = 31119319072411009
BaseRepresentation
bin10011010101000010111000…
…01100110001011010101111
312120111101122200211201102210
421222201130030301122233
521032343301030310411
6230222152333221503
711644565130101661
oct1152413414613257
9176441580751383
1042504543213231
11125a8091609730
1249257b9631893
131a942132a3648
14a6d333706531
154da992604ca6
hex26a85c3316af

42504543213231 has 64 divisors (see below), whose sum is σ = 67252134297600. Its totient is φ = 23591231078400.

The previous prime is 42504543213211. The next prime is 42504543213281. The reversal of 42504543213231 is 13231234540524.

It is a happy number.

42504543213231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42504543213231 - 213 = 42504543205039 is a prime.

It is a super-2 number, since 2×425045432132312 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42504543213231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42504543213211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16423855 + ... + 18834863.

It is an arithmetic number, because the mean of its divisors is an integer number (1050814598400).

Almost surely, 242504543213231 is an apocalyptic number.

42504543213231 is a deficient number, since it is larger than the sum of its proper divisors (24747591084369).

42504543213231 is a wasteful number, since it uses less digits than its factorization.

42504543213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411980.

The product of its (nonzero) digits is 345600, while the sum is 39.

Adding to 42504543213231 its reverse (13231234540524), we get a palindrome (55735777753755).

The spelling of 42504543213231 in words is "forty-two trillion, five hundred four billion, five hundred forty-three million, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 11 19 31 33 57 93 209 341 589 627 907 1023 1767 2721 6479 9977 17233 19437 28117 29931 51699 84351 189563 309287 534223 568689 927861 1602669 2411009 5876453 7233027 17629359 26521099 45809171 74741279 79563297 137427513 224223837 503900881 822154069 1420084301 1511702643 2186785163 2466462207 4260252903 6560355489 15620927311 24054636793 41548918097 46862781933 67790340053 72163910379 124646754291 203371020159 457038099067 745693740583 1288016461007 1371114297201 2237081221749 3864049383021 14168181071077 42504543213231